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Finding the Fourth Proportional to 7,024.50, 10,537.02 and 1,830.42

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Solution

The fourth proportional to 7,024.50, 10,537.02 and 1,830.42 is: 2,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.50 : 10,537.02 = 1,830.42 : x
  2. Step 2: Convert to fraction form
    7,024.50/10,537.02 = 1,830.42/x
  3. Step 3: Cross multiply
    7,024.50x = 10,537.02 × 1,830.42
  4. Step 4: Simplify right side
    7,024.50x = 19,287,172.15
  5. Step 5: Solve for x
    x = 19,287,172.15/7,024.50
  6. Step 6: Final answer
    x = 2,745.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.